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Finding the Third Proportional to 238,285.13 and 523,801.69

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Solution

The third proportional to 238,285.13 and 523,801.69 is: 1,151,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,285.13 : 523,801.69 = 523,801.69 : x
  2. Step 2: Convert to fraction form
    238,285.13/523,801.69 = 523,801.69/x
  3. Step 3: Cross multiply
    238,285.13x = 523,801.69 × 523,801.69
  4. Step 4: Simplify right side
    238,285.13x = 274,368,207,827.85
  5. Step 5: Solve for x
    x = 274,368,207,827.85/238,285.13
  6. Step 6: Final answer
    x = 1,151,428.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.